Sejam W₁e W₂ variáveis aleatórias discretas independentes com a seguinte função de probabilidade: !$ f(0)=\dfrac{1}{2},f(1)=\dfrac{1}{3},f(2)=\dfrac{1}{6} !$. Seja !$ Y= W_1+ W_2 !$.

Julgue a seguinte afirmativa:

Item 4 - Y é uma variável aleatória discreta que assume os seguintes valores {0,1,2,3,4,5}.

São conhecidos os seguintes dados do balanço de pagamentos de certo país no ano T.

Itens	US$ Milhões
Saldo da conta de transferências unilaterais correntes	500
Saldo da conta de serviços	-500
Saldo da conta de rendas	-1500
Saldo da conta de capitais compensatórios	-1000
Saldo da conta de capitais autônomos	1000
Saldo da conta de empréstimos de regularização	100
Saldo da conta de “Atrasados”	0
Importações de bens	3000
Juros líquidos pagos ao exterior	400
Erros e omissões	0

Com base nessas informações, julgue a seguinte afirmativa referente ao ano em questão:

Item 3 - O PIB do país foi maior que o PNB.

Charlemagne

Choosing new friends

The European Union is struggling to help Arab revolutionaries

Apr 7th 2011 | from the print edition

IN ITS desire to surround itself with a “ring of friends”, Europe never really asked if it was rubbing shoulders with the right sort of chums. From Algeria to Belarus, it has been encircled for the most part by police states. The Arab revolts are belatedly overturning old assumptions. Take France: the same Rafale fighter jets it tried to sell to Colonel Muammar Qaddafi are now being sent into action against him.

The European Union, too, is revising its “neighbourhood policy” in the hope that its claim to be promoting economic and political reformin return for greater integration with the EU will no longer seem such a mockery. For years European officials negotiated action plans with countries and wrote reports bemoaning their lack of democracy, yet kept paying autocrats billions of euros. Until recently the EU was negotiating “deep and comprehensive” free-trade agreements with just two neighbours: Ukraine, even though it has been backsliding on civil liberties, and Libya.

Europe’s neighbourhood policy is a sort of enlargement-lite. It offers countries on the EU’s rim the prospect of integration short of full membership—“everything but institutions” went the early slogan. It was born from a wish to reassure Ukraine that it would not be cut off after the admission of eight ex-communist states (plus Malta and Cyprus) to the EU in 2004. But it was soon expanded to include other new neighbours (Belarus and Moldova), older Mediterranean neighbours and, for good measure, the Caucasus (Armenia, Azerbaijan and Georgia).

It has not all been cynical. To the east, the reforming government of Moldova is being rewarded with generous aid. Meanwhile, the EU has frozen assets and restricted visas for Belarus’s leaders after they rigged elections and suppressed protests. But in the south the promotion of democracy and the rule of law has been a fiction. As one Eurocrat puts it, “they pretended to implement the human rights commitment. We pretended to open up our programmes and policies.”

Last month the European Commission rushed out a revised Mediterranean policy insisting it would not be “a passive spectator”. Next month it will publish a more comprehensive review, including eastern neighbours. For Stefan Fule, one of the commissioners in charge, the first paper tried to answer “the easy question”: how to help Tunisia and Egypt after they had got rid of their dictators. The second will try to answer the harder questions: what to do about countries that have liberalised only partly (eg, Morocco and Jordan) or hardly at all (eg, Syria and Algeria).

(...)

It is tempting to draw a parallel between the fall of the Berlin Wall in 1989 and the Arab spring of 2011. But one big difference is that the ex-communist countries had a burning wish to “return” to Europe. Arab neighbours have no such ambition. And eastern neighbours, though eligible in theory, know the EU is not ready to expand beyond the Balkans. Without the lure of membership, the EU struggles to find effective foreign-policy tools.

Where does Europe’s interest lie?

As with its past inability to shift Arab dictators, the EU will struggle to shape the outcome of the Arab spring. But it should try, not least because its actions in the south influence the east. The neighbourhood is where the EU has the greatest chance of having an impact. As a union, it may not have military power, but it has useful economic and political tools.

Some officials worry that the emphasis on promoting democracy will tie Europe’s hands. What if Arab countries do not democratise? What if the Arab spring turns to winter? Europe will still have interests to pursue in energy security, fighting terrorism, managing migration and more. Such concerns are legitimate. But the Arab spring highlights another vital interest. The old Arab allies are falling; given the stability the EU wants, democracy offers abetter hope of taking radical Islam.Policies should be better tailored for each neighbour. Europe cannot change geography, so it will have to deal with all the countries on its rim, democratic or autocratic. But in its circle of neighbours, it must always demonstrate that its best friends are the democrats.

from the print edition | Europe

According to the text,

Item 1 - The European Commission has no intention of including its eastern neighbours in its forthcoming paper;

Considere as equações diferenciais abaixo e julgue a afirmativa:

(I) t² y' + ty =1 (para t > 0) .

(II) y'' − 2y' − 3y = 9t² .

Item 4 - y_p(t) At² é uma solução particular de (II) para algum !$ A !$ real.

Julgue a afirmativa:

Item 2 - O nível de significância de um teste é a probabilidade de rejeitar a hipótese nula quando a hipótese alternativa é verdadeira.

No período entre 1964 e 1967, a economia brasileira passou por inúmeras mudanças institucionais. Entre elas podemos mencionar a criação:

Item 4 - da Comissão de Fusão e Incorporação de Empresas (COFIE), que facilitou e normatizou fusões e incorporações, principalmente de instituições financeiras.

Charlemagne

Choosing new friends

The European Union is struggling to help Arab revolutionaries

Apr 7th 2011 | from the print edition

IN ITS desire to surround itself with a “ring of friends”, Europe never really asked if it was rubbing shoulders with the right sort of chums. From Algeria to Belarus, it has been encircled for the most part by police states. The Arab revolts are belatedly overturning old assumptions. Take France: the same Rafale fighter jets it tried to sell to Colonel Muammar Qaddafi are now being sent into action against him.

The European Union, too, is revising its “neighbourhood policy” in the hope that its claim to be promoting economic and political reformin return for greater integration with the EU will no longer seem such a mockery. For years European officials negotiated action plans with countries and wrote reports bemoaning their lack of democracy, yet kept paying autocrats billions of euros. Until recently the EU was negotiating “deep and comprehensive” free-trade agreements with just two neighbours: Ukraine, even though it has been backsliding on civil liberties, and Libya.

Europe’s neighbourhood policy is a sort of enlargement-lite. It offers countries on the EU’s rim the prospect of integration short of full membership—“everything but institutions” went the early slogan. It was born from a wish to reassure Ukraine that it would not be cut off after the admission of eight ex-communist states (plus Malta and Cyprus) to the EU in 2004. But it was soon expanded to include other new neighbours (Belarus and Moldova), older Mediterranean neighbours and, for good measure, the Caucasus (Armenia, Azerbaijan and Georgia).

It has not all been cynical. To the east, the reforming government of Moldova is being rewarded with generous aid. Meanwhile, the EU has frozen assets and restricted visas for Belarus’s leaders after they rigged elections and suppressed protests. But in the south the promotion of democracy and the rule of law has been a fiction. As one Eurocrat puts it, “they pretended to implement the human rights commitment. We pretended to open up our programmes and policies.”

Last month the European Commission rushed out a revised Mediterranean policy insisting it would not be “a passive spectator”. Next month it will publish a more comprehensive review, including eastern neighbours. For Stefan Fule, one of the commissioners in charge, the first paper tried to answer “the easy question”: how to help Tunisia and Egypt after they had got rid of their dictators. The second will try to answer the harder questions: what to do about countries that have liberalised only partly (eg, Morocco and Jordan) or hardly at all (eg, Syria and Algeria).

(...)

It is tempting to draw a parallel between the fall of the Berlin Wall in 1989 and the Arab spring of 2011. But one big difference is that the ex-communist countries had a burning wish to “return” to Europe. Arab neighbours have no such ambition. And eastern neighbours, though eligible in theory, know the EU is not ready to expand beyond the Balkans. Without the lure of membership, the EU struggles to find effective foreign-policy tools.

Where does Europe’s interest lie?

As with its past inability to shift Arab dictators, the EU will struggle to shape the outcome of the Arab spring. But it should try, not least because its actions in the south influence the east. The neighbourhood is where the EU has the greatest chance of having an impact. As a union, it may not have military power, but it has useful economic and political tools.

Some officials worry that the emphasis on promoting democracy will tie Europe’s hands. What if Arab countries do not democratise? What if the Arab spring turns to winter? Europe will still have interests to pursue in energy security, fighting terrorism, managing migration and more. Such concerns are legitimate. But the Arab spring highlights another vital interest. The old Arab allies are falling; given the stability the EU wants, democracy offers abetter hope of taking radical Islam.Policies should be better tailored for each neighbour. Europe cannot change geography, so it will have to deal with all the countries on its rim, democratic or autocratic. But in its circle of neighbours, it must always demonstrate that its best friends are the democrats.

from the print edition | Europe

According to the text,

Item 4 - Syria and Morocco have hardly liberalised at all.